It's strange because I can see that your power button is getting red when you press it so the laptop is being powered. Did you try a power management reset by pressing the power button for 5-10 secs ? Since you said that your laptop did power on at the beginning and now it has this issue, maybe it's something with the power management. Just an idea. I don't know if it will solve your problem but it's worth trying it since it only takes 10 secs.
EDIT: Srry. I've just seen that you already sent it to ASUS Service. Just keep us updated on what they tell you :). Good luck mate !